// Copyright (c) 2019-present, Facebook, Inc.
// All rights reserved.
//
// This source code is licensed under the license found in the
// LICENSE file in the root directory of this source tree.
//

import java.util. *;
import java.util.stream.*;
import java.lang.*;
import javafx.util.Pair;
public class MARKOV_MATRIX{
static boolean f_gold ( double m [ ] [ ] ) {
  for ( int i = 0 ;
  i < m . length ;
  i ++ ) {
    double sum = 0 ;
    for ( int j = 0 ;
    j < m [ i ] . length ;
    j ++ ) sum = sum + m [ i ] [ j ] ;
    if ( sum != 1 ) return false ;
  }
  return true ;
}


//TOFILL

public static void main(String args[]) {
    int n_success = 0;
    List<double [ ] [ ]> param0 = new ArrayList<>();
    param0.add(new double[][]{new double[]{ 0, 0, 1 }, new double[]{ 0.5, 0, 0.5 }, new double[]{ 1, 0, 0 }});
    param0.add(new double[][]{new double[]{ 0, 0, 1 }, new double[]{ 0.5, 0, 0.51 }, new double[]{ 1, 0, 0 }});
    param0.add(new double[][]{new double[]{ 0, 0, 0.9 }, new double[]{ 1, 0, 0.1 }, new double[]{ 0, 1, 0 }});
    param0.add(new double[][]{new double[]{}});
    param0.add(new double[][]{new double[]{ 0, 1 }, new double[]{ 0.9, 0.1}, new double[]{ 0, 1}});
    param0.add(new double[][]{new double[]{ 1 }});
    param0.add(new double[][]{new double[]{1800.5208165864472,5129.668497755772,4091.578454432755,9520.788540775387,9012.789443327169,5479.787317916788,4846.101760095075,9310.645104102381,6862.485564868333,6537.037513320974,7943.016882755804},new double[]{8081.404685413337,2775.350842660207,3624.18060172129,320.5505410412923,896.5298358859519,9778.851990348234,8093.842945978867,5513.194168934705,3238.213662532161,2068.183825530009,8922.404213665432,2564.415908565606,9541.992473376376,3500.695185589028,7425.292941600525,1035.1769706476443,1993.3236514377372,7516.6428866994665,7036.757321520528,4521.722941224576,6046.954992856951,1480.947630193744,2468.314968942801,6721.875264461492,729.3668691453537,7013.1702771055125,620.7860776027774,4073.8164568995426,6637.935131989998,4970.880129282128,8491.291538095455,6017.257595728452,8758.321951108288,7450.774705441449,2430.104778991052,7653.421788466134,9867.846002930755,9025.832543077806,3130.4709292949738},new double[]{4092.6187809701687,3682.191052666517,6210.3251142981435,7559.705041866003,8083.3992753238235,7027.888848387021,322.813354455147,6396.660665360345},new double[]{6712.595190644637,3351.7854488023168,3596.9007070939974,7383.906373292954,6925.055360334225,6564.096130017967,9810.727474966703,1812.3875023392943,7582.083184537618,6792.011378435494,6737.106729773401,5165.155358877282,7694.499267616087,3564.5292718018964,8125.369501443796,7515.428339325206,3373.5371602639975,8145.31715886053,6297.6183870619725,489.2402023933884,9562.673985208492,6553.732669130852,7196.924911915597,9239.272829887721,5855.3831715786055,9570.600140348652,6684.3117497126605,9977.065074407292,9210.767097725591,3456.1818868411087},new double[]{4472.26489764256,7298.311171623871,6184.798212074516,5645.069795561799,9113.123076453292,5537.618956455394,2142.794697171854,8370.190271064876,5972.2448507765475,6299.8293468991715,7388.052824286836,735.079089195314,4216.330577355761,928.9766117855969,1935.1190718709943,5606.352487792576,9764.404560908582,5301.250390178857,2250.0545430370357,8159.5544835139635,1327.0903534461743,7505.6753057440255,9918.714694238013,8827.139931812451,1859.1883736005789,8018.161213209266,7984.370920859778,288.30827861459517,1461.0614788611754,2690.173572057434,8427.499467578928,4724.15901701013,4457.387382560547,9993.904502656509},new double[]{2842.9663139830186,8957.4584498927,8686.31672019927,4832.99654565389},new double[]{1477.392902127036,7189.591229360169,8822.61208105902,4851.411807703794,9600.384550545641,5836.4581179869165,2366.7307632417446,9442.85367113618,9848.096373489492,3805.2945900367695,2741.21016804169,7787.421240650287,5163.029236960128,3839.164193518556,8999.926058466983,5787.032859796697,7669.921381103829,7893.275228211627,1051.182564195985,7017.888839448166,5215.123486606644,5208.568127672256,1134.2054935790945,7573.233029924398,6060.282198006302,1395.7596136070006,3653.7960603925126,244.94506756705502,3594.7042035479526,6272.774300983842,4043.3735550683537,2274.103544548338,4022.0181987353485,9109.556771757481,4286.57480001852,6721.662297331347,6105.99828625709,8758.359235513371,1658.875171187041,2024.5696201552444},new double[]{5912.554579767912,5341.080476025451,4305.59603125092,9800.436262778925,8097.160534980595,493.9680676037761,4047.191664109233,6070.216899309564,5697.682730828276,9448.806800500452,7698.114392101278,7020.216498152797,7091.797827878821,3273.5516687760546,3685.5162670409804,2210.2161977720316,7182.207804931318,3265.217158812098,1798.8408452362914,9318.266496779846,2859.486203159565,4314.215039310549,8313.026936365693},new double[]{8911.686558511605,5660.199086800985,6475.525180381277,4040.3172648744144,5708.611042449874,9524.099373256367,7030.627120796817,783.4145757917787,9713.798324426925,5284.149579386235,986.5900188717991,2567.146044707662,2034.3874533234496,7853.582414512236,5610.18808118777,9372.679297083534,1227.8195252860025,8558.328099907549,5800.797131024546,1345.9810037159548,8059.092655056248,1007.7145561634637,1867.8280914974055,8073.000957658564}});
    param0.add(new double[][]{new double[]{9784.847472945596,1467.4849690692215,326.01056399299114,3577.1820356491303,3413.7335834614014,5621.398199278954,75.70726246875714,3072.65108747655,7278.353400799695,4703.166022097605,9423.746532838595,9651.338090892916,7908.363875282913,2112.03821823538,1975.7721197648048,1044.0925741602891,8579.267990348524,3350.769942053501,5299.788699272214,7928.710248719408,8396.62857032498,3836.1908586465343,8012.249410750618,7828.91833852811,1917.7798073113083,5120.386576342888,3678.786128839827,4600.911873999521,9497.461077450645,3000.203085004004,7858.544769795873,8325.214884003173,2451.061402910233,647.2264467569499,7282.170138249182,2285.3064693716783,5922.10840378214,6916.751327338277,7063.312743282037,6645.4394853366075,5500.794550321606,7493.492320906113,7206.786508904741,2686.298332703524,2538.8761292983,7253.98778369984},new double[]{4241.304996916518,483.6596378334046,2763.9580150656075,1405.7652499741057,258.3758368726019,6614.609227113464,2961.514732472338,9474.777783117728,2912.5365535711267,5242.8884354914,2501.548861500482,6531.229223937745,4140.476002883762,132.56892540437048,3020.289197641887,5554.185397774308,8773.09782632125,5011.890905582158,8392.625753242448,7800.7407071334765,4421.736562443395,52.49756244802284,7333.792465191643,1840.7462281638009,7908.087535935016,3036.262276198375,3509.2829531181924,7645.618711034763,5397.717763289013,3243.612078360748,34.14499888319544,3384.2995707615296,4853.062855850027,2223.4821740514067,7479.5354594110395,5969.120408179362,5192.807647536894,3509.0771162909696,7334.4495826109105,4987.315435971069,6816.016561595986,442.4714082796233,65.9273693936524,9593.436472709476,2670.0620305702496,4952.745706389296,6867.130101433143},new double[]{1926.3801797530411,4684.089278792868,1544.945305609513,712.4317947088488,6354.9413872948935,2717.619315479798,6846.354537398023,3775.3936214538207,6375.903394134439,1363.1538350088424,2277.399819529351,4091.6667790722695,3659.9052193584657,3149.203276820165,7595.555393770957,5372.782288919421,8515.657623246656,3159.662631217324,4043.737445094111,1842.2411676778072,9713.005101273826,2832.78160742499,4589.20341066574,9043.00917767472},new double[]{3498.6444148809305,2140.852698797143,4510.872710314036,2990.179189617128,7420.541642401762,1033.9572862948598},new double[]{2794.437679786802,3463.1871053331233,9732.829396187464,663.0832249897201,5276.910560721226,481.59416166211446,2090.2478003682513,4558.692561388009,8758.39373387397,4610.715817786542,9921.398649289273,1682.6982416319624,3585.6795224563066,3977.0601543964967,9993.300034767055,8757.889303531827,1287.4604767598673,9265.34884519963,9590.296620414523,3376.6132678108816,795.8613040403706,6807.576250770766,6498.575499062116,3521.0998180866904,818.8610607244495,1889.8998767199425,3567.5388991226396,3904.860163650392,7927.945627565823,5684.632085876909,2665.280318592044,3200.1780479713084,4080.5659548739804,4423.8860644441,2026.9544154357254,6542.038761607715,371.810846991496,9089.128291277799,7033.856907920886,1925.889920294268,7735.925631486304},new double[]{650.8667327357808,4738.836852826164,3985.4301749766173,1955.6572393313954,3810.217150006002,8241.6067168621,2457.8677884976973,5043.061693161945,4098.220705621862,8311.523429129516,2613.3577094067405,8951.447431099867,3413.493711945631,195.07449236425666,3526.5261452758646,5987.082440383985,7672.683285206186,8940.181891567034,8715.378318384124,1609.9269146079098,5147.181463101181,3305.462535094599,9965.648218377532,3910.7964252545266,8068.070848658828,4992.46105696117,116.74465555125413,3636.501190685493,6298.365303023811,758.4342724419646,9850.35171473097,6154.099626143185,6627.416733525318,2147.4459586732773,4542.271637456006,6116.269798885344,1404.5680346185973,5378.69792918011},new double[]{283.30445322594545,1212.7329453006353,6176.516523951887,7361.713020934436,446.2529292320283,3573.9634384317155,2866.7667140384456,716.9415721666761,2066.5957334633813,8494.234070043816,6193.876480036603},new double[]{2136.416496948584,4757.490297134756,1761.236114129905,9672.92860361088,292.470289758332,2616.287787938537,2448.153310489565,8852.291381698386,9393.592818697269,1859.3755772816644,7576.3934917486795,2082.9223147752805,2503.5367105046867,6532.795825292272,9756.064172800725},new double[]{2016.9598997834726,9246.468446682007,7917.631622499911,7530.075198225538,1619.9210624035043,8192.289210321009,111.78933513454669,1304.2859282076513,752.9875736889525,805.8026634404869,3551.4066295443845,5397.733935371496,4669.6567467481555,4794.75142820851,4543.875056844882,3805.9629250337543,5742.679148326456,3813.8720700893437,5210.151412919032,5556.602949642819,2200.424210202666,5908.92594615778,13.819841484519202,1329.454109503373,3028.833109958248,8592.293540323464,9978.59670979421,3605.121961455566,5381.409564276148,1891.7229437227568,625.9300378157828,2758.668754886496,6051.709933922486,6457.36281514481,5548.754777623672},new double[]{8850.151741072603,6337.421968969598,6419.680943286824,9156.134838807471,8322.880320938539,5346.094263229739,8840.13035584083,4662.998040082982,5049.325678804513,6885.637071688473,4883.744421558373,2324.765558938434,995.0281814899331,4461.416494281927,9543.834187148504,784.6027172885606,4558.569173648864,7373.848141952878,9152.707277929396,3448.6407116186224,3753.543292707031,4293.096821412292},new double[]{1409.0526006258365,816.3081240623837,2140.41426162899,728.4924219143152,2193.525472941873,4035.7606724635307,6500.846781261058,5527.736115595666,2134.0180018693986,6779.435167553661,1806.1545644495725,9627.301890803697},new double[]{2371.0568858922543,3268.660813251466,1707.0991863723361,5378.8673760312895,4595.50873089922,2635.8908557704995,691.8444475043295,1624.4384043918103,8928.107824993145,6825.313895904731,8182.165500835241,2451.226122788347,7782.688704839678,6441.579872434251,4321.009439314746,4899.256098629653,5519.087620918876,45.86639299398176,429.87376466871564,6270.117082341795,6415.83724491815,590.2483422808136,2744.8282476562367,3286.420684963404,9655.583401408132,5203.85048223821,8915.078884333285,2608.1519486714988,886.3789741564909,6130.506796586644,6650.901924046862,6646.892160204216,3289.49925972008,5166.474954280374,6759.760310020064,5274.430205929131,5227.164076346812,8287.373511433061,8205.14217850992,3862.4949439064203,7981.66493597097,3621.863491818439,1773.8539613657788,7194.120248679593,6717.104192113617,9016.56618386249},new double[]{4918.488645705508,4863.9376793380325,7980.4716752546,8867.75386799514,7286.076902807735,6413.32763495569,7345.819132709017,610.4954669263795,6823.681549442864,1375.05106487004,5238.380502512437,2773.5771144536634,1491.8279295443392,7856.576929303261,6541.511110001304,9898.82817639193,2431.5435459289947,2730.7902667354133,9195.287603503173,6925.56268238798,5431.128027542276,8702.555149921645,6465.507768740284,9314.270576749725,6272.806736480676,3446.023537244589,6842.356648227475,5788.729554244277,1502.222414850204,5144.345936259722,6576.536519145917,2388.5817800660634,9895.843552802167,8863.44954106686,8659.39270167813,6782.724020047004,6901.026465987045},new double[]{9835.349971287455,1349.9943677780557,9305.006231475043,7682.072854084074,7772.435685418998,6457.172433005703,2271.0896412754787,147.3581960989412,5040.667292338796,5347.141489987937,3007.9371262367195},new double[]{6024.724622587527,1333.55102363379,7543.244958334469,9460.475824602792,5402.777961971936,8618.077786578586,7680.609290490088,5356.651624620611,3081.6630316517667,9965.820175569215,7449.902533219914,2376.8033440694426,2121.6403598925017,5899.797061644942,8738.967016335799,6819.82087022954},new double[]{3658.3990216338057,5939.885133721119,6112.535663798665,4603.757105062263,3601.7182918941257,2699.3894158179332,7634.713427911456,1785.935936680989,6282.120568441831,5216.58891069557,5607.715652949593,5173.8490353923025,7091.689227700492,7231.192245003612,8164.945945372898,691.0808086432995,8884.363372959273,880.702711513005,2983.6539638181393,7041.501334247409,2686.9984210291477,6039.4806880060305,4397.578815778263,4727.811059409236,8382.722608048367,9206.150345275291,172.2170912991472,2020.4702767795213,5489.448690729701,2451.26584431948,3295.4350676203826,4629.077813268916,343.6354616846271,5913.229158529008,2178.835131759951,8464.236722574358,598.6751867838647,1890.7273951970649,9233.763123524577,3511.4462447810624,7198.449866811291,7009.77653163331,8249.84422453666,4282.457347563149,2271.24825809504,5764.120163554731,5765.436670299819,8908.501071223765,2586.0376485095303},new double[]{4178.517530004291,8230.813420124246,1482.5779208939982,9884.823630994786,7654.976401516819,7172.9744832796405,6743.457935859208,2332.0202265026755,6512.820966135465,7899.27033659936,6446.637651589306,3660.9711365100516,6983.0340219305535,8514.370249450678,1743.2333221598017,5103.440073973708,9266.372786086862,4118.043957388042,5646.298272664013,5981.854812259621,3200.6662612242185,6635.177996178426,9679.83767911182,3226.414516089032,9037.63040871817,1667.244125906292,437.75555568785876,8080.445197603589,7182.504146702597,8450.080668876279,5837.320531337393,375.1630048786392,6609.658242430057,4138.324209656617,4978.355962743171},new double[]{6943.097108273823,8155.800311882496,881.1561722205652,6892.581313027855,8870.412782607324,8669.932116289347,570.9050959816841,3403.556267239408,6454.311530504761,1789.7908209345858,7910.710586936548,5812.846543860358,6168.21145124294,2131.0842431388164,2770.4029575820955,1574.8495056694844,8538.95214350614,3406.107386087113,2908.900240552177,9882.928919376212,2844.4878840063193,43.21457208309343,7278.594953930636,9356.662142497536,6209.878587941289,3990.0985725352966,414.3501395268456,8619.011907510358,6999.1215509988015,2882.9851019850194},new 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double[]{1566.286547919663,8936.617547502176,9231.73742747379,5926.868366854842,9103.397262654895,8368.856835536099,7101.186219987764,7810.498315791292,7975.613043686254,6534.1573199897975,3221.878461550536,8047.027853088147,4308.07219595293},new double[]{4698.9398220605735,1381.493549044479,2511.354007653047,1792.9062150709663,3433.3984663747965,6310.645731404196,9282.773595893277,1436.72903578846,4255.664980727647,5442.018955197633,9070.360569097147,997.3894557292784,6111.892651874234,9341.385608723269,478.81757295908267,1351.2651210460015,1523.9132106506759,7642.007210066544,8023.924071903322},new double[]{6975.216490755457,545.726967916269,7829.418625853173,285.96897390028687,1788.3485134839195}});
    for(int i = 0; i < param0.size(); ++i)
    {
        if(f_filled(param0.get(i)) == f_gold(param0.get(i)))
        {
            n_success+=1;
        }
    }
    System.out.println("#Results:" + n_success + ", " + param0.size());
}
}